Consider the equation 5x + 7 = 2x + 28. Your tasks to explain the steps you would take, in
order, to solve the equation for x. Imagine that you are writing this for someone who is learning
about this process for the first time. You would be as specific as possible and write in complete
sentences.

======================================================

Explanation:

Plug x = 80 into the equation to get

y = 0.12x

y = 0.12*80

y = 9.60

This means the store paid $9.60 for the rope. This amount of money is leaving the store owner's wallet or bank account. We'll keep this in mind for later.

-------------------

The graph shows the equation y = 0.20x

Note how the point (1, 0.20) is on the line to help see the slope right away. This trick only works when the line goes through the origin.

You could also use the slope formula to get this. The y intercept is 0 since the line goes through the origin.

This equation and graph show that the price per foot is $0.20, or it's 20 cents per foot.

Plug in x = 80 to find how much the store will make in revenue

y = 0.20x

y = 0.20*80

y = 16

The store makes $16 in revenue when it sells 80 ft of rope.

----------------------

The cost to the store was $9.60 found in the first section. The revenue was $16 found in section 2.

So,

profit = revenue - cost

profit = 16 - 9.60

profit = 6.40 dollars

Answer:

Step-by-step explanation:Let our two numbers be  a  and  b . Then we can see that  a+b=8  and  ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3  by the binomial expansion. Now we have all the information to solve this, observe since  a+b=8  and  ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3  

a3+b3+3ab(a)+3ab(b)=83  

a3+b3+3ab(a+b)=83  

a3+b3=83−3ab(a+b)  

a3+b3=83−3(15)(8)=512−360=152  

You can also observe that  3  and  5  fulfill those conditions so, then  33+53=27+125=152 . Which is our result.

Answer:

The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

Step-by-step explanation:

We need to calculate the gradient of the graph

The gradient of graph is actually slope of the graph.

The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Taking any 2 points on graph i.e

(1,0) and (-1,-3)

We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]

Putting values and finding gradient:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]

So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

Answer:

g(x)=m(x−2)+b+3

Answer:

7.78

Step-by-step explanation:

Answer:

O 7.78

Step-by-step explanation:

Have a wonderful day:)

Answer:

Break-even point in units= 25

Step-by-step explanation:

Giving the following information:

Fixed cost= $100

Unitary variable cost= $20

Selling price per unit= $24

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 100 / (24 - 20)

Break-even point in units= 25

Answer:

If you meant rs.1,200,000 then the answer would be rs.18,000

If you meant rs.120,000    then the answer would be rs.1,800

Step-by-step explanation:

Please mark B R A I N L I E S T

Answer:

-2

Step-by-step explanation:

8-10 = -2

20-19 = 1

-2/1 = -2

Answer:

-2

Step-by-step explanation:

Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex] Where y2 is 8 and x2 is 20 and y1 is 10 and x1 is 19

So 8 - 10 = -2

And 20 - 19 = 1

-2 divided by 1

It is -2.

HOPE THIS HELPED

????????????????????????

Answer:

I believe the answer is C. Rotation

Step-by-step explanation:

I used google to look up a example for each answer and this image looks to be a Rotation

Answer:

3. markup: $150

selling price: $300

4. markup: $19.20

selling price: $67.20

5. markup: $55

selling price: $165

6. markup: $90

selling price: $450

7. markup: $3.75

selling price: $16.25

8. markup: $7.14

selling price: $27.54

Step-by-step explanation:

To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:

3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:

100% = 1

150 * 1 = 150

The markup is 150.

To find the selling price we add the markup to the initial value:

150 + 150 = 300

The selling price is 300.

I applied this method to all of the questions.

Answer:

0.6 miles

Step-by-step explanation:

Given that,

A biking track has a length of 3168 feet (ft).

We need to find the distance in miles.

We know that, 1 mile = 5280 foot

1 feet = (1/5280) mile

Now, we can find the distance in miles by multiplying 3168 by (1/5280).

[tex]d=3168 \times \dfrac{1}{5280}\\\\=0.6\ \text{miles}[/tex]

So, the distance covered is 0.6 miles.

Answer:

3(3px + 4y)(3px - 4y)

Step-by-step Explanation:

This is the answer because:

1) We can factor using the difference of squares formula.

2) a^2 − b^2 = (a + b) (a − b) where a = 3px and b = 4y .

Hope this helps!

Answer:

2x+1

Step-by-step explanation:

Answer:

[tex]v_x=v\:cos\:\theta \:[/tex]

   [tex]=-10.7294[/tex]

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=-16.5218[/tex]

Step-by-step explanation:

Let 'v' be the vector

The equation of the horizontal component is:

[tex]v_x=v\:cos\:\theta \:[/tex]

The equation of the vertical component is:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

As

The horizontal component will be:

[tex]v_x=v\:cos\:\theta \:[/tex]

    [tex]=\left(19.7\right)\cos \left(237^{\circ \:}\right)[/tex]

     [tex]=-10.7294[/tex]

The vertical component will be:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=19.7\sin \:\left(237^{\circ \:\:}\right)[/tex]

    [tex]=-16.5218[/tex]

Answer:

no its a 88 percent

Step-by-step explanation:

simple math

Answer:

90% of 25 = 22.5

Step-by-step explanation:

Answer:

Option B. 3/4 > 2/3 is the correct answer.

Step-by-step explanation:

Lets look at the options one by one

A. 1/2 < 1/3

This inequality converts into 0.5<0.33 which is false.

B. 3/4 > 2/3

This simplifies to 0.75>0.666 which is true.

C. -1/4 < - 2/3

This converts to -0.25<-0.666 which makes the inequality false.

D. -1 > 3/4​

This converts to -1>0.75 which makes the inequality false.

Hence,

Option B. 3/4 > 2/3 is the correct answer.

Answer:

Option C. -1/4 < - 2/3 is the correct answer.

-1/4 equals -3/12

-2/3 equals -8/12

So, it is -2/3 is greater

Answer:

y = [tex]\frac{3}{4}[/tex] x - 3

Step-by-step explanation:

Coordinates of x-intercept are (x, 0)

Coordinates of y-intercept are (0, y)

(0, - 3)

(4, 0)  

Slope m = [tex]\frac{3}{4}[/tex]

y = [tex]\frac{3}{4}[/tex] x - 3

y = [tex]\frac{3}{4}[/tex] ( - 4) - 3 = - 6

(- 4, - 6)

y = [tex]\frac{3}{4}[/tex] ( - 16) - 3 = - 15

(- 16, - 15)

12 = [tex]\frac{3}{4}[/tex] x - 3

[tex]\frac{3}{4}[/tex] x = 15

x = 20

(20, 12)

Answer:

x= 1/5y +1/5 have a good day whoever you are :D

Step-by-step explanation:

Step 1: Flip the equation.

5x−5=y−4

Step 2: Add 5 to both sides.

5x−5+5=y−4+5

5x=y+1

Step 3: Divide both sides by 5.

5x /5 = (y+1) /5

x= 1/5y +1/5

Answer:

5x-y=-1

Step-by-step explanation:

y-4=5x-5

take 5x on the other side and also take -4 on the other side . the numbers must change sines when they go on there other side

-5x+y=-5+4

-5x+y=-1

divide both sides by -1

5x-y=1

Answer:

um yes.

Step-by-step explanation:

Answer:

The answer is C/85,000

Step-by-step explanation:

Answer:

2401

Step-by-step explanation:

7^4

7 • 7 • 7 • 7

49 • 49

2401

Answer:

2401

Step-by-step explanation:

Pretty sure this is the answer. Have a good day!

Answer:

6 lawns

Step-by-step explanation:

In one hour, Daniel can mow 3/5 lawns

therefore, in 10hours Daniel can mow 3/5 x 10 lawns = 6 lawns

Topic: Rates and proportions

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

Step-by-step explanation:

6.7578 *x = 13 divide both sides by 6.7578

[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]

x= 1.923

Answer:

x-y=0

Hope this helped

Answer:

z=44/3

Step-by-step

Subtract the numbers 52-12=40

3z-4=40

Add 4 to both sides

3z-4+4=40+4

SImplify

3z=44

Divide both sides by 3

3z/3 = 44/3

z=44/3 or decimal form= 14.66